diff --git a/Lib/test/test_normalization.py b/Lib/test/test_normalization.py
index 13219e70df3..fa9611ea58a 100644
--- a/Lib/test/test_normalization.py
+++ b/Lib/test/test_normalization.py
@@ -45,6 +45,7 @@ class NormalizationTest(unittest.TestCase):
                                         check=check_version)
         except (IOError, HTTPException):
             self.skipTest("Could not retrieve " + TESTDATAURL)
+        self.addCleanup(testdata.close)
         for line in testdata:
             if '#' in line:
                 line = line.split('#')[0]